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<!DOCTYPE html> <html lang="en"> <head> <title>Tropical : Table of Contents</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="the main M2 package for tropical computations" href="index.html">Tropical</a> :: <a href="toc.html">Table of Contents</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> next | previous | forward | backward | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <h1>Tropical : Table of Contents</h1> <ul> <li><span><a title="the main M2 package for tropical computations" href="index.html">Tropical</a> -- the main M2 package for tropical computations</span></li> <li><span><a title="computes the dimension of the ambient space of a tropical cycle" href="_amb__Dim_lp__Tropical__Cycle_rp.html">ambDim(TropicalCycle)</a> -- computes the dimension of the ambient space of a tropical cycle</span></li> <li><span><a title="the Bergman fan of a matroid" href="___Bergman__Fan.html">BergmanFan</a> -- the Bergman fan of a matroid</span></li> <li><span><a title="option to compute the multiplicities in case they ideal is not prime" href="___Compute__Multiplicities.html">ComputeMultiplicities</a> -- option to compute the multiplicities in case they ideal is not prime</span></li> <li><span><a title="computes the cones of a tropical cycle" href="_cones_lp__Z__Z_cm__Tropical__Cycle_rp.html">cones(ZZ,TropicalCycle)</a> -- computes the cones of a tropical cycle</span></li> <li><span><a title="computes the dimension of a tropical cycle" href="_dim_lp__Tropical__Cycle_rp.html">dim(TropicalCycle)</a> -- computes the dimension of a tropical cycle</span></li> <li><span><a title="outputs the fan associated to the tropical cycle" href="_fan_lp__Tropical__Cycle_rp.html">fan(TropicalCycle)</a> -- outputs the fan associated to the tropical cycle</span></li> <li><span><a title="computes the fVector of a tropical cycle" href="_f__Vector_lp__Tropical__Cycle_rp.html">fVector(TropicalCycle)</a> -- computes the fVector of a tropical cycle</span></li> <li><span><a title="checks whether a tropical cycle is balanced" href="_is__Balanced.html">isBalanced</a> -- checks whether a tropical cycle is balanced</span></li> <li><span><a title="option to declare if the input ideal is homogeneous" href="___Is__Homogeneous.html">IsHomogeneous</a> -- option to declare if the input ideal is homogeneous</span></li> <li><span><a title="checks whether a tropical cycle is pure" href="_is__Pure_lp__Tropical__Cycle_rp.html">isPure(TropicalCycle)</a> -- checks whether a tropical cycle is pure</span></li> <li><span><a title="checks whether a tropical cycle is simplicial" href="_is__Simplicial_lp__Tropical__Cycle_rp.html">isSimplicial(TropicalCycle)</a> -- checks whether a tropical cycle is simplicial</span></li> <li><span><a title="checks if a list of polynomials is a tropical basis for the ideal they generate" href="_is__Tropical__Basis.html">isTropicalBasis</a> -- checks if a list of polynomials is a tropical basis for the ideal they generate</span></li> <li><span><a title="computes the lineality space of a tropical cycle" href="_lineality__Space_lp__Tropical__Cycle_rp.html">linealitySpace(TropicalCycle)</a> -- computes the lineality space of a tropical cycle</span></li> <li><span><a title="computes the maximal cone of a tropical cycle" href="_max__Cones_lp__Tropical__Cycle_rp.html">maxCones(TropicalCycle)</a> -- computes the maximal cone of a tropical cycle</span></li> <li><span><a title="returns the list of multiplicities on maximal cones in a tropical cycle" href="_multiplicities.html">multiplicities</a> -- returns the list of multiplicities on maximal cones in a tropical cycle</span></li> <li><span><a title="instructions for loading Polymake with this package." href="___Polymake_spinterface_spinstructions.html">Polymake interface instructions</a> -- instructions for loading Polymake with this package.</span></li> <li><span><a title="option to declare if the input ideal is prime" href="___Prime.html">Prime</a> -- option to declare if the input ideal is prime</span></li> <li><span><a title="computes the rays of a tropical cycle" href="_rays_lp__Tropical__Cycle_rp.html">rays(TropicalCycle)</a> -- computes the rays of a tropical cycle</span></li> <li><span><a title="computes the stable intersection of two tropical varieties" href="_stable__Intersection.html">stableIntersection</a> -- computes the stable intersection of two tropical varieties</span></li> <li><span><a title="option to declare if the input ideal has symmetries" href="___Symmetry.html">Symmetry</a> -- option to declare if the input ideal has symmetries</span></li> <li><span><a title="a Type for working with tropical cycles" href="___Tropical__Cycle.html">TropicalCycle</a> -- a Type for working with tropical cycles</span></li> <li><span><a title="constructs a TropicalCycle from a Fan and a list with multiplicities" href="_tropical__Cycle.html">tropicalCycle</a> -- constructs a TropicalCycle from a Fan and a list with multiplicities</span></li> <li><span><a title="the intersection of the tropical hypersurfaces" href="_tropical__Prevariety.html">tropicalPrevariety</a> -- the intersection of the tropical hypersurfaces</span></li> <li><span><a title="the tropical variety associated to an ideal" href="_tropical__Variety.html">tropicalVariety</a> -- the tropical variety associated to an ideal</span></li> <li><span><a title="visualize the tropical hypersurface of the given polynomial" href="_visualize__Hypersurface.html">visualizeHypersurface</a> -- visualize the tropical hypersurface of the given polynomial</span></li> </ul> </body> </html>